Write the word TRUE if the statement is correct: otherwise, write FALSE 1. A circle is a special kind of an ellipse. 2 When the plane intersects a circular cone at an angle that is parallel to the edge of the cone, the shape formed is a circle 3. The circle represented by the equation x 2+y2-1 passes through the origin. 4. All parabolas with vertical directrix open to the left or to the right.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter12: Conic Sections
Section12.FOM: Focus On Modeling: Conics In Architecture
Problem 3P
icon
Related questions
Question

please answer it legible and correct process of solution. thank you

Write the word TRUE if the statement is correct: otherwise, write FALSE.
1.A circle is a special kind of an ellipse.
2. When the plane intersects a circular cone at an angle that is parallel to the edge of the cone, the shape formed
is a circle
3. The circle represented by the equation x 2+ y 2-1 passes through the origin.
4. All parabolas with
vertical directrix open to the left or to the right.
S.A parabola with the equation (y-k)2 = 4p(x- h) has an axis of symmetry y- k, vertex at (h, k), and p as
directed distance from the vertex to the focus.
6. The minor axis of an ellipse is the segment that passes through the focus and is perpendicular to the major axis.
7. The x-coordinates of the foci of a vertical ellipse are equal.
8 In the standard equation of an ellipse, if the x- part has the bigger denominator, the ellipse is horizontal.
9. A hyperbola is the set of all points in a plane such that the absolute value of the difference of the distances
from any point on the hyperbola to the foci is constant.
10. The hyperbola x 2 a2 - y2 b2 = 1 has a horizontal transverse axis and 2 asymptotes y tabx,
Transcribed Image Text:Write the word TRUE if the statement is correct: otherwise, write FALSE. 1.A circle is a special kind of an ellipse. 2. When the plane intersects a circular cone at an angle that is parallel to the edge of the cone, the shape formed is a circle 3. The circle represented by the equation x 2+ y 2-1 passes through the origin. 4. All parabolas with vertical directrix open to the left or to the right. S.A parabola with the equation (y-k)2 = 4p(x- h) has an axis of symmetry y- k, vertex at (h, k), and p as directed distance from the vertex to the focus. 6. The minor axis of an ellipse is the segment that passes through the focus and is perpendicular to the major axis. 7. The x-coordinates of the foci of a vertical ellipse are equal. 8 In the standard equation of an ellipse, if the x- part has the bigger denominator, the ellipse is horizontal. 9. A hyperbola is the set of all points in a plane such that the absolute value of the difference of the distances from any point on the hyperbola to the foci is constant. 10. The hyperbola x 2 a2 - y2 b2 = 1 has a horizontal transverse axis and 2 asymptotes y tabx,
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Numbers 4, 5, and 6. Thank you.

Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning